Decoherence Free Subspaces for Quantum Computation

Abstract

Decoherence in quantum computers is formulated within the Semigroup approach. The error generators are identified with the generators of a Lie algebra. This allows for a comprehensive description which includes as a special case the frequently assumed spin-boson model. A generic condition is presented for error-less quantum computation: decoherence-free subspaces are spanned by those states which are annihilated by all the generators. It is shown that these subspaces are stable to perturbations and moreover, that universal quantum computation is possible within them.

4 pages, no figures. Conditions for decoherence-free subspaces made more explicit, updated references. To appear in PRL

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• Standard quantum annealing outperforms adiabatic reverse annealing with decoherence
• Effective Hamiltonian Approach to Open Systems and Its Applications
• Continuous quantum error correction for evolution under time-dependent Hamiltonians
• Error bounds for constrained dynamics in gapped quantum systems: Rigorous results and generalizations
• Universal Dynamical Control of Local Decoherence for Multipartite and Multilevel Systems
• Pure Dephasing of Light-Matter Systems in the Ultrastrong and Deep-Strong Coupling Regimes
• Scheme for fault-tolerant holonomic computation on stabilizer codes
• Experimental implementation of a Raman-assisted six-quanta process
• Experimental quantification of spatial correlations in quantum dynamics
• Protecting quantum entanglement from amplitude damping
• Universal Error Bound for Constrained Quantum Dynamics
• Non-Markovian Dynamics and Entanglement in Quantum Brownian Motion
• Measurement-based direct quantum feedback control in an open quantum system
• Beating the House: Fast Simulation of Dissipative Quantum Systems with Ensemble Rank Truncation
• Routed quantum circuits
• Solving non-Markovian open quantum systems with multi-channel reservoir coupling
• Stability of the many-body scars in fermionic spin-1/2 models
• From Davydov solitons to decoherence-free subspaces: self-consistent propagation of coherent-product states
• An environment-mediated quantum deleter
• Efficient generation of many-body entangled states by multilevel oscillations
• Control of Quantum Dynamics of Electron Transfer in Molecular Loop Structures: Spontaneous Breaking of Chiral Symmetry under Strong Decoherence
• Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $\eta$ pairing, weak ergodicity breaking, and partial integrability
• Measurement-Induced Quantum Synchronization and Multiplexing
• Coherent optical manipulation of triplet-singlet states in coupled quantum dots
• Suppressing Correlated Noise in Quantum Computers via Context-Aware Compiling
• Entangling two defects via a surrounding crystal
• Robust transmission of non-Gaussian entanglement over optical fibers
• Quantifying Spatial Correlations of General Quantum Dynamics
• Theory of multiwave mixing and decoherence control in qubit array system
• Scalable fault-tolerant quantum computation in DFS blocks
• Quantum Reference Frames and the Classification of Rotationally-Invariant Maps
• Enhancement of quantum correlations between two particles under decoherence in finite temperature environment
• Spectral properties of Dissipative Chaotic Quantum Maps
• Room-temperature storage of quantum entanglement using decoherence-free subspace in a solid-state spin system
• Estimation of coherent error sources from stabilizer measurements
• Preparation of entanglement between atoms in spatially separated cavities via fiber loss
• Preparation of decoherence-free, subradiant states in a cavity
• Modulated Entanglement Evolution Via Correlated Noises
• Minutes-scale Schr{ö}dinger-cat state of spin-5/2 atoms
• Engineering steady entanglement for trapped ions at finite temperature by dissipation
• Numerical method for finding decoherence-free subspaces and its applications
• Ultrafast Holonomic Quantum Gates
• Exact out-of-equilibrium central spin dynamics from integrability
• Control of Decoherence: Dynamical Decoupling versus Quantum Zeno Effect - a case study for trapped ions
• Steady entanglements in bosonic dissipative networks
• Robust Charge-based Qubit Encoding
• Saving Entanglement via a Nonuniform Sequence of $\pi$ Pulses
• Error-Resistant Distributed Quantum Computation in Trapped Ion Chain
• Steady-state entanglement generation for non-degenerate qubits
• Cut-and-paste restoration of entanglement transmission
• Statistically Characterising Robustness and Fidelity of Quantum Controls and Quantum Control Algorithms
• Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
• Generalized Multiplicative Domains and Quantum Error Correction
• Steady bipartite coherence induced by non-equilibrium environment
• Dissipation and decoherence induced by collective dephasing in coupled-qubit system with a common bath
• Enhanced Multi-Qubit Phase Estimation in Noisy Environments by Local Encoding
• Fidelity enhancement by logical qubit encoding
• Implications of Qudit Superselection rules for the Theory of Decoherence-free Subsystems
• Energy protection arguments fail in the interaction picture
• Continuous Quantum Error Correction Through Local Operations
• Production of entanglement in Raman three-level systems using feedback
• Agents, subsystems, and the conservation of information
• Robust implementations of Quantum Repeaters
• Two Qubit Quantum Computing in a Projected Subspace
• Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice
• Engineering symmetry-selective couplings of a superconducting artificial molecule to microwave waveguides
• Steady many-body entanglements in dissipative systems
• Controlling NMR spin systems for quantum computation
• Quantum tight-binding chains with dissipative coupling
• Operator quantum error correction for continuous dynamics
• Topological quantum synchronization of fractionalized spins
• Simulating Zeno physics by quantum quench with superconducting circuits
• Optimizing Stabilizer Parities for Improved Logical Qubit Memories
• Universal Control Induced by Noise
• Quantum discord protection from amplitude damping decoherence
• Concatenating dynamical decoupling with decoherence-free subspaces for quantum computation
• Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter
• Modular Quantum Information Processing by Dissipation
• Optimized parameter estimation in the presence of collective phase noise
• Decoherence predictions in a superconductive quantum device using the steepest-entropy-ascent quantum thermodynamics framework
• Qubit state guidance without feedback
• Robustness of quantum communication based on a decoherence-free subspace using a counter-propagating weak coherent light pulse
• Enhanced energy relaxation process of quantum memory coupled with a superconducting qubit
• Generating and protecting correlated quantum states under collective dephasing
• Improved entanglement detection with subspace witnesses
• Generation and protection of Maximally Entangled State between many modes in an optical network with dissipation
• Long-lived oscillatory incoherent electron dynamics in molecules: trans-polyacetylene oligomers
• Spectral investigation of the noise influencing multi-qubit states
• Quasi inversion of qubit channels
• Appearance and Stability of Anomalously Fluctuating States in Shor's Factoring Algorithm
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Effect of control procedures on the evolution of entanglement in open quantum systems
• Quantum reservoirs with ion chains
• Realization of decoherence-free subspace using Multiple-Quantum coherences
• Quantum error avoiding codes versus quantum error correcting codes
• Signatures of spatially correlated noise and non-secular effects in two-dimensional electronic spectroscopy
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• Detection of Geometric Phases in Flux Qubits with Coherent Pulses
• Tunneling Proximity Resonances: Interplay between Symmetry and Dissipation
• Recursive Encoding and Decoding of Noiseless Subsystem and Decoherence Free Subspace
• Indistinguishability-enhanced entanglement recovery by spatially localized operations and classical communication
• Statistical mechanics of entanglement mediated by a thermal reservoir I
• Switching Quantum Dynamics for Fast Stabilization
• Controllable entangled state distribution in a dual-rail reconfigurable optical network
• Entanglement-assisted Coding Theory
• Ion-trap quantum information processing: experimental status
• A Lorentz Invariant Pairing Mechanism: Relativistic Cooper Pairs
• Quantum metrology to probe atomic parity nonconservation
• Protecting the $\sqrt{SWAP}$ operation from general and residual errors by continuous dynamical decoupling
• Superradiance as a Source of Collective Decoherence in Quantum Computers
• Enhancing robustness of multiparty quantum correlations using weak measurement
• Universal Continuous Variable Quantum Computation Without Cooling
• Engineering fidelity of the generalized Pauli channels via legitimate memory kernels
• Deterministic generation of photonic entangled states using decoherence-free subspaces
• Highly entangled stationary states from strong symmetries
• Single-Atom Verification of the Optimal Trade-Off between Speed and Cost in Shortcuts to Adiabaticity
• Unravelling Metastable Markovian Open Quantum Systems
• Symmetry-induced decoherence-free subspaces
• Quantum dot molecule devices with optical control of charge status and electronic control of coupling
• Rotationally-Invariant Circuits: Universality with the exchange interaction and two ancilla qubits
• Adiabatic Control of Decoherence-Free-Subspaces in an Open Collective System
• Finding good quantum codes using the Cartan form
• Dissipative quantum state preparation and metastability in two-photon micromasers
• Understanding the Pointer States
• Communication between general-relativistic observers without a shared reference frame
• Thermal entanglement in a triple quantum dot system
• Prisoners' Dilemma in Presence of Collective Dephasing
• Phonon-induced dynamic resonance energy transfer
• Dynamical decoupling of a singlet-triplet qubit afflicted by a charge fluctuator
• Non-perturbative Dynamical Decoupling Control: A Spin Chain Model
• Overlapping Resonances in the Resistance of Superposition States to Decoherence
• Decoherence in a system of many two--level atoms
• Quantum error correction and large $N$
• A Study on the Noise Threshold of Fault-tolerant Quantum Error Correction
• Periodically Driven Open Quantum Systems: Spectral Properties and Non-Equilibrium Steady States
• Simplified Approach to Implementing Controlled-Unitary Operations in a Two-Qubit System
• Dynamics of a quantum system interacting with white non-Gaussian baths: Poisson noise master equation
• Robust and fragile Werner states in the collective dephasing
• Polarization and frequency disentanglement of photons via stochastic polarization mode dispersion
• Repetition Versus Noiseless Quantum Codes For Correlated Errors
• Dynamically Generated Decoherence-Free Subspaces and Subsystems on Superconducting Qubits
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
• Continuously decoupling a Hadamard quantum gate from independent classes of errors
• Quantum phase estimation algorithms with delays: effects of dynamical phases
• On Groups in the Qubit Clifford Hierarchy
• Decoherence-free quantum register of nuclear spins in diamond
• Zeno dynamics and constraints
• Preserving Measurements for Optimal State Discrimination over Quantum Channels
• Decoherence and Entanglement Dynamics of Coupled Qubits
• A simple Example of Definitions of Truth, Validity, Consistency, and Completeness in Quantum Mechanics
• Quantum asymptotic phase reveals signatures of quantum synchronization
• Monte Carlo simulation of quantum Zeno effect in the brain
• Quantum state transfer with untuneable couplings
• Compatible Transformations for a Qudit Decoherence-free/Noiseless Encoding
• Effects of dynamical phases in Shor's factoring algorithm with operational delays
• Classical memoryless noise-induced maximally discordant mixed separable steady states
• Entanglement Emerges from Dissipation-Structured Quantum Self-Organization
• Fault-tolerant breathing pattern in optical lattices as a dynamical quantum memory
• Democratizing Spin Qubits
• Amount of quantum coherence needed for measurement incompatibility
• Geometric entangling gates for coupled cavity system in decoherence-free subspaces
• Applications of Canonical Transformations
• Local Pauli stabilizers of symmetric hypergraph states
• Single-mode magnon-polariton lasing and amplification controlled by dissipative coupling
• Asymmetric and Symmetric Subsystem BCH Codes and Beyond
• Bell-state preparation for electron spins in a semiconductor double quantum dot
• Quantum Gloves
• Decoherence rate in random Lindblad dynamics
• Robustness of operator quantum error correction with respect to initialization errors
• Fault-ignorant Quantum Search
• Computational approach to quantum encoder design for purity optimization
• Efficient decoupling of a non-linear qubit mode from its environment
• Minimal noise subsystems
• Robust quantum state recovery from amplitude damping within a mixed states framework
• Probing coherence and noise tolerance in discrete-time quantum walks: unveiling self-focusing and breathing dynamics
• Scaling of Decoherence Effects in Quantum Computers
• Efficient generation of many-body singlet states of spin-1 bosons in optical superlattices
• Extended orbital modeling of spin qubits in double quantum dots
• Nonadiabatic Holonomic Quantum Computation via Path Optimization
• Werner state structure and entanglement classification
• Symmetry-protected adiabatic quantum transistors
• Using continuous measurement to protect a universal set of quantum gates within a perturbed decoherence-free subspace
• Decoherence induced by electron accumulation in quantum measurement of charge qubits
• Possibility of Inhomogeneous Coupling Leading to Decoherence in an Electromagnetically-Induced-Transparency Quantum-Memory Process
• Unitary Designs of Symmetric Local Random Circuits
• Decoherence-free quantum information in Markovian systems
• Decoherence-free quantum information in the presence of dynamical evolution
• State protection by quantum control before and after noise
• Degradation of Entanglement in Markovian Noise
• Dynamical fidelity susceptibility of decoherence-free subspaces
• Two-qubit gates for decoherence-free qubits using a ring exchange interaction
• Emergence of a measurement basis in atom-photon scattering
• Decoherence-free subspaces and subsystems for a collectively depolarizing bosonic channel
• Microscopic biasing of discrete-time quantum trajectories
• Quasi-inversion of quantum and classical channels in finite dimensions
• Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes
• Engineering of Quantum State by Time-Dependent Decoherence-Free Subspaces
• Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource
• Bipartite entanglement dynamics of two-level systems in sub-Ohmic reservoirs
• Quantum networks boosted by entanglement with a control system
• Qubit-environment entanglement outside of pure decoherence: hyperfine interaction
• Suppression of decoherence in quantum registers by entanglement with a nonequilibrium environment
• Bound on quantum computation time: Quantum error correction in a critical environment
• Dissipative phonon Fock state production in strong nonlinear optomechanics
• Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars
• Robust engineering of maximally entangled states by identical particle interferometry
• Observation of multiple steady states with engineered dissipation
• Mitigating controller noise in quantum gates using optimal control theory
• Robust nonadiabatic geometric quantum computation by dynamical correction
• Temperature effects on a network of dissipative quantum harmonic oscillators: collective damping and diffusion processes
• Nuclear spin qubits in a trapped-ion quantum computer
• Dissipation-assisted quantum computation in atom-cavity systems
• Optimal Zeno Dragging for Quantum Control: A Shortcut to Zeno with Action-based Scheduling Optimization
• Universal collective rotation channels and quantum error correction
• Minimal-memory realization of pearl-necklace encoders of general quantum convolutional codes
• Using quantum state protection via dissipation in a quantum-dot molecule to solve the Deutsch problem
• Preparation of a single-photon dark state in a chiral quantum system
• Error Avoiding Quantum Codes and Dynamical Stabilization of Grover's Algorithm
• Inhibiting decoherence via ancilla processes
• Operational Quantum Mereology and Minimal Scrambling
• Succinct Description and Efficient Simulation of Non-Markovian Open Quantum Systems
• No-go theorem and optimization of dynamical decoupling against noise with soft cutoff
• Quantum state transfer between valley and photon qubits
• Optical and Zeeman spectroscopy of individual Er ion pairs in silicon
• Quantum computation toolbox for decoherence-free qubits using multi-band alkali atoms
• Protected Solid-State Qubits
• Shielding quantum discord through continuous dynamical decoupling
• Methods for Producing Decoherence-Free States and Noiseless Subsystems Using Photonic Qutrits
• Manipulation of spin cluster qubits by electric-field induced modulation of exchange coupling, $g$-factor, and axial anisotropy
• Bound state and Localization of excitation in many-body open systems
• Evaluation of Decoherence for Quantum Computing Architectures: Qubit System Subject to Time-Dependent Control
• Quantum gate in the decoherence-free subspace of trapped ion qubits
• Noise suppression by quantum control before and after the noise
• Complete eigenstates of identical qubits arranged in regular polygons
• Demonstrating quantum algorithm acceleration with NMR quantum computer
• Quantumness and speedup limit of a qubit under transition frequency modulation
• Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit
• Improved storage of coherent and squeezed states in imperfect ring cavity
• Tunable three-body loss in a nonlinear Rydberg medium
• Negativity of quantumness and non-Markovianity in a qubit coupled to a thermal Ising spin bath system
• Dynamics of a multipartite hybrid quantum system with beamsplitter, dipole-dipole, and Ising interactions
• Majorana zero-modes in a dissipative Rashba nanowire
• Non-Markovian decoherence dynamics of entangled coherent states
• Generalized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras
• Chaos in circuit QED: decoherence, localization, and nonclassicality
• Number of steady states of quantum evolutions
• Screening of qubit from zero-temperature reservoir
• Error prevention scheme with two pairs of qubits
• Purity Speed Limit of Open Quantum Systems from Magic Subspaces
• Towards realization of universal quantum teleportation using weak measurements
• Convex decomposition of dimension-altering quantum channels
• On Quantum and Classical Error Control Codes: Constructions and Applications
• Long-lived quantum correlation by cavity-mediated subradiance
• Quantum Two-Way Protocol Beyond Superdense Coding: Joint Transfer of Data and Entanglement
• Limitations of practical multi-photon decoherence-free states
• A note on verification procedures for quantum noiseless subsystems
• A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint
• Concatenating quantum error-correcting codes with decoherence-free subspaces and vice versa
• Fundamental charges for dual-unitary circuits
• Protection of Logical Qubits via Optimal State Transfers
• A multiple-circuit approach to quantum resource reduction with application to the quantum lattice Boltzmann method
• Phonon-induced decoherence of a charge quadrupole qubit
• Observable geometric phase induced by a cyclically evolving dissipative process
• Effects of Noise, Correlations and errors in the preparation of initial states in Quantum Simulations
• Coherent Ro-vibrational Revivals in a Thermal Molecular Ensemble
• Entanglement protection in higher-dimensional systems
• Dissipative Distillation of Supercritical Quantum Gases
• Entanglement classes of symmetric Werner states
• Metrological usefulness of entanglement and nonlinear Hamiltonians
• Adapted-operator representations: Selective versus collective properties of quantum networks
• Optical implementation of a unitarily correctable code
• Non-Markovian quantum dissipative processes with the same positive features as Markovian dissipative processes
• Quantum Error Correction with Uniformly Mixed State Ancillae
• Subsystem Pseudo-pure States
• Probing Polariton Dynamics in Trapped Ions with Phase-Coherent Two-Dimensional Spectroscopy
• Protecting Quantum Information with Entanglement and Noisy Optical Modes
• Effects of imperfect noise correlations on decoherence-free subsystems: SU(2) diffusion model
• Quantum entanglement and Bell violation of two coupled cavity fields in dissipative environment
• Time-optimal universal quantum gates on superconducting circuits
• Dynamical Decoupling of Qubits in Spin Bath under Periodic Quantum Control
• Optimizing Quantum Teleportation and Dense Coding via Mixed Noise Under Non-Markovian Approximation
• Entanglement Protection via Periodic Environment Resetting in Continuous Time Quantum Dynamical Processes
• Bounding the fidelity of quantum many-body states from partial information
• Quantum computation in silicon-vacancy centers based on nonadiabatic geometric gates protected by dynamical decoupling
• Dissipative quantum many-body dynamics in (1+1)D quantum cellular automata and quantum neural networks
• Geometric Characterization of True Quantum Decoherence
• Protecting Superconducting Qubits with Universal Quantum Degeneracy Point
• Classifying quantum data by dissipation
• Intermittent decoherence blockade in a chiral ring environment
• Improving the purity of one- and two-qubit gates by AC fields
• Proposal for high-fidelity quantum simulation using a hybrid dressed state
• Universal Quantum Degeneracy Point for Superconducting Qubits
• Immunity of information encoded in decoherence-free subspaces to particle loss
• Unconventional steady states and topological phases in an open two-level non-Hermitian system
• Algebraic structure of path-independent quantum control
• Transition of D- Level Quantum Systems Through Quantum Channels with Correlated Noise
• Robustness of the concatenated quantum error-correction protocol against noise for channels affected by fluctuation
• Quantitative Treatment of Decoherence
• Cold highly charged ions in a radio-frequency trap with superconducting magnetic shielding
• Lindbladians with multiple steady states: theory and applications
• In-situ Adaptive Encoding for Asymmetric Quantum Error Correcting Codes
• Low temperature decoherence dynamics in molecular spin systems using the Lindblad master equation
• Topological Insights from State Manipulation in a Classical Elastic System
• Disappearance of entanglement: a topological point of view
• Decoherence Rates in Large Scale Quantum Computers and Macroscopic Systems
• Coherence generation, symmetry algebras and Hilbert space fragmentation
• Entanglement-assisted communication in the absence of shared reference frame
• Quantum Control of d-Dimensional Quantum Systems with Application to Alkali Atomic Spins
• Decoherence-Insensitive Quantum Communication by Optimal C^*-Encoding
• Generality of the concatenated five-qubit code
• Conditions for superdecoherence
• Hidden parameters in open-system evolution unveiled by geometric phase
• Nanophotonic Super-dephasing in Collective Atom-Atom Interactions
• Perfect Function Transfer in two- and three- dimensions without initialization
• Pre-management of Disentanglement
• Two-qubit logical operations in three quantum dots system
• Continuous dynamical decoupling and decoherence-free subspaces for qubits with tunable interaction
• Preparing the spin-singlet state of a spinor gas in an optical cavity
• Localizable quantum coherence
• Partial decoherence in mesoscopic systems
• Distillation of Bell states in open systems
• Long-time Quantum Scrambling and Generalized Tensor Product Structures
• Quantum communication between trapped ions through a dissipative environment
• Tensor-network-based variational Monte Carlo approach to the non-equilibrium steady state of open quantum systems
• Decoherence suppression for oscillator-assisted geometric quantum gates via symmetrization
• Engineering tunable decoherence-free subspaces with collective atom-cavity interactions
• Dark-state photonic entanglement filters
• Quantum Computers and Decoherence: Exorcising the Demon from the Machine
• A proposal of noise suppression for quantum annealing
• Enhanced exciton transmission by quantum-jump-based feedback
• General approach to find steady-state manifolds in Markovian and non-Markovian systems
• Liouville invariance in quantum and classical mechanics
• Deformed versus undeformed cat states encoding qubit
• Monitoring Entanglement Evolution and Collective Quantum Dynamics
• Subsystem Code Constructions
• Non-Hamiltonian modeling of squeezing and thermal disorder in driven oscillators
• Many-Body Entanglement in Solid-State Emitters
• Entangling power of holonomic gates in atom-cavity systems
• Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
• Decoherence of trapped bosons by buffer gas scattering: What length scales matter?
• Optimal state transfer of a single dissipative two-level system
• Quantifying the influence of the initial state on the dynamics of an open quantum system
• Quantum Internal Model Principle: Decoherence Control
• Geometric Manipulation of a Decoherence-Free Subspace in Atomic Ensembles
• Anti-symmetry consideration on the preservation of Entanglement of spin system
• Dynamical Aspects of Information Storage in Quantum-Mechanical Systems
• Information flow at the quantum-classical boundary
• Entangling Nuclear Spins by Dissipation in a Solid-state System
• Control of decoherence in open quantum systems using feedback
• Decoherence-enhanced measurements
• Quantum Property Preservation
• Emergence of robust gaps in 2D antiferromagnets via additional spin-1/2 probes
• On the dynamics of maximum extractable entanglement for open systems
• Classical branches and entanglement structure in the wavefunction of cosmological fluctuations
• Mitigating decoherence in molecular spin qudits
• Pauli Spin Blockade in a Resonant Triple Quantum Dot Molecule
• Quantum Features of the Thermal Two-Qubit Quantum Rabi Model in Ultra- and Deep-Strong Regimes
• Error Mitigation in Quantum Computers subject to Spatially Correlated Noise
• A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath
• Lie Algebras and Suppression of Decoherence in Open Quantum Systems
• Decoherence-free propagation and ramification of a solitary pulse
• Kinetically constrained models constructed from dissipative quantum dynamics
• Attractor Subspace and Decoherence-Free Algebra of Quantum Dynamics
• Implementing fanout, parity, and Mod gates via spin exchange interactions
• Spin Bath Decoherence Mediated by Phonons
• Controlling dephasing of coupled qubits via shared-bath coherence
• Enhanced Quantum Parameter Estimation via Dynamical Modulation
• Jaynes-Cummings atoms coupled to a structured environment: Leakage elimination operators and the Petz recovery maps
• Revealing correlated noise with single-qubit operations
• True decoherence-free-subspace derived from a semiconductor double quantum dot Heisenberg spin-trimer
• Targeting qubit states using open-loop control
• Quantum Codes for Controlling Coherent Evolution
• Protecting an unknown qubit state by weak measurement
• Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems
• Recursive encoding and decoding of the noiseless subsystem for qudits
• Decoherence-Free Entropic Gravity for Dirac Fermion
• Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
• Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
• Stochastic quantum hydrodynamic model from the dark matter of vacuum fluctuations: The Langevin-Schrödinger equation and the large-scale classical limit
• Asymptotic Exceptional Steady States in Dissipative Dynamics
• Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
• Casimir Invariants for Systems Undergoing Collective Motion
• Quantum channel for light based on integrals of motion
• Decoherence of encoded quantum registers
• Heisenberg-Limited Quantum Metrology without Ancillae
• Exact Entanglement Dynamics of Two Spins in Finite Baths
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• Protecting entangled states of two ions by engineering reservoir
• Quantum Computation by Quantum Operations on Mixed States
• Protection of entanglement between two two-level atoms
• Parameter Estimation, Model Reduction and Quantum Filtering
• Error correction with orbital angular momentum of multiple photons propagating in a turbulent atmosphere
• A unification of the coding theory and OAQEC perspective on hybrid codes
• Bath Dynamical Decoupling with a Quantum Channel
• Evidence of several dipolar quasi-invariants in Liquid Crystals
• Rethinking Renormalization for Quantum Phase Transitions
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Reachability, Coolability, and Stabilizability of Open Markovian Quantum Systems with Fast Unitary Control
• Resurrection of Schrodinger Cat
• Remarkable Degenerate Quantum Stabilizer Codes Derived from Duadic Codes
• Instability of steady-state mixed-state symmetry-protected topological order to strong-to-weak spontaneous symmetry breaking
• Strongly Confined Atomic Excitation Localization in a Weakly-Driven Atom-Waveguide Interface
• Local density matrices of many-body states in the constant weight subspaces
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Transport approach to quantum state tomography
• Deterministic Shaping of Quantum Light Statistics
• No-go theorem for environment-assisted invariance in non-unitary dynamics
• Decoherence and fidelity enhancement during shuttling of entangled spin qubits
• Quantum-to-Classical Transition via Single-Shot Generalized Measurements
• Quantum Perspective on Digital Money: Towards a Quantum-Powered Financial System
• Overcoming limitations on gate fidelity in noisy static exchange-coupled surface qubits
• Open-system dynamics in local Lindbladians with chaotic spectra
• Double-Bracket Master Equations: Phase-Space Representation and Classical Limit
• Mitigation of systematic amplitude error in nonadiabatic holonomic operations
• A Davydov Ansatz approach to accurate system-bath dynamics in the presence of multiple baths with distinct temperatures
• Effect of Weak Measurement Reversal on Quantum Correlations in a Correlated Amplitude Damping Channel, with a Neural Network Perspective
• Entanglement preservation in tripartite quantum systems under dephasing dynamics
• Dynamical stability of entanglement between spin ensembles
• Combating errors in propagation of orbital angular momentum modes of light in turbulent media
• Noiseless subsystems for collective rotation channels in quantum information theory
• Decoherence suppression via environment preparation
• Stability of quantum eigenstates and kinetics of wave function collapse in a fluctuating environment
• Improving classical capacity of qubit dynamical maps through stationary state manipulation
• Quantum reference frames and triality
• On fixed-gap adiabatic quantum computation
• Sensing microscopic noise events by frequent quantum measurements
• Spectral stabilizability
• Quantum discord protection of a two-qutrit V-type atomic system from decoherence by partially collapsing measurements
• Entanglement Swapping Model of DNA Replication
• Protection of noisy multipartite entangled states of superconducting qubits via universally robust dynamical decoupling schemes
• The decoherence-free subalgebra of Gaussian Quantum Markov Semigroups
• Ancilla-Assisted Protection of Information: Application to Atom-Cavity Systems
• Suppressing decoherence of quantum algorithms by jump codes
• Identification of Decoherence-Free Subspaces Without Quantum Process Tomography
• Degenerate Landau-Zener model in the presence of quantum noise
• Approaches to Quantum Error Correction
• Recovering optimal precision in quantum sensing with time domain imperfections
• Non-Universality from Conserved Superoperators in Unitary Circuits
• A two reservoir model of quantum error correction
• Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points
• Geometric and holonomic quantum computation
• Dephasing-Induced Distribution of Entanglement in Tripartite Quantum Systems
• Landau-Zener Transitions in Spin Qubit Encoded in Three Quantum Dots
• Constructing Qudits from Infinite Dimensional Oscillators by Coupling to Qubits
• Control-Induced Decoherence-Free Manifolds
• Local phase damping of single qubits sets an upper bound on the phase damping rate of entangled states
• Concatenation of Error Avoiding with Error Correcting Quantum Codes for Correlated Noise Models
• Generation of robust entangled states in a non-hermitian periodically driven two-band Bose-Hubbard system
• On the number of representations providing noiseless subsystems
• Experimental implementation of leakage elimination operators
• Relaxation times do not capture logical qubit dynamics
• Nonuniform Parafermion Chains: Low-Energy Physics and Finite-Size Effects
• Entangled states dynamics of moving two-level atoms in a thermal field bath
• Dark Modes in Non-Markovian Linear Quantum Systems
• Clustering of steady-state correlations in open systems with long-range interactions
• Indirect decoherence in optical lattices and cold gases
• Structural Decomposition for Quantum Two-level Systems
• Unique entanglement time evolution of two-qubit product separable and extended Werner-like states in a discrete qubit environment
• Majorana-like oscillation for edge states in one-dimensional topological chain with dissipative couplings
• Synthesis of Energy-Conserving Quantum Circuits with XY interaction
• State-independent uncertainty relations on multipartite spin $1/2$-systems
• Protecting quantum systems from decoherence with unitary operations
• Non-adiabatic holonomic quantum computation in linear system-bath coupling
• Non-normality and dissipation in Markovian quantum dynamics: Implications for quantum simulation
• Universally Robust Control of Open Quantum Systems
• Entropy of a quantum error correction code
• Controlling the coherence in a pure dephasing model for an arbitrarily prescribed time span
• Decoherence-free subspaces and Markovian revival of genuine multipartite entanglement in a dissipative system
• Quantum Markovian Subsystems: Invariance, Attractivity, and Control
• Thermalization of Quantum Many-Body Scars in Kinetically Constrained Systems
• Maximal noiseless code rates for collective rotation channels on qudits
• Hierarchy of degenerate stationary states in a boundary-driven dipole-conserving spin chain
• Erwin Schroedinger, Francis Crick and epigenetic stability
• Quantum steganographic protocols using degenerate and entanglement-assisted quantum codes
• Non-Markovian Noise in Symmetry-Preserving Quantum Dynamics
• Efficient and operational quantifier of non-divisibility in terms of channel discrimination
• A quantum repeater based on decoherence free subspaces
• Hall conductance and topological invariant for open systems
• The Role of Alternance Symmetry in Magnetoconductance
• Creating Quantum Cluster States embedded in ancillary baths
• Open n-Qubit System as a Quantum Computer with Four-Valued Logic
• Nontraditional Deterministic Remote State Preparation Using a Non-Maximally Entangled Channel without Additional Quantum Resources
• Harnessing Nonlinear Dynamics for Time-Driven Berry Phase in Classical Systems
• Decoherence Cancellation through Noise Interference
• Modeling Decoherence and Decoherence-Free Subspaces in Complex Environments
• Quantum Computing Using an Open System and Projected Subspace
• Stationary entanglement in N-atom subradiant degenerate cascade systems
• Error-immune quantum communication